Math, asked by Anonymous, 9 months ago

★ Going to calculate the value of “Sum of infinite Natural Numbers”

★ Detect the fault if you can! ★
________________________

Let S = 1 + 2 + 3 + 4 + 5 + ..........
=> S = 1 + (2 + 3 + 4) + (5 + 6 + 7) + (8 + 9 + 10).......
=> S = 1 + 9 + 18 + 27 +..........
=> S = 1 + 9(1 + 2 + 3 + 4 +......)
=> S = 1 + 9(S)
=> 8S = -1
 =  > \fbox{ s =  \frac{ - 1}{8} }
★Therefore, Sum of infinite natural numbers is -1/8.★

Answers

Answered by daddatyagi999
9

1 +2+3+4+5+6

{2+3+4) +(5+6+7)+ (8+9+10+ (11+12+13)

1+ 9+18+27+36

1+9(1+2+3+4+5+6 )

the sum of infinite natural number is 1/8

1upon \: 2

a = 1/2

r= 1/4 / 1/2 = 1/2

S = a/ 1-r ( r<1

.

1/2 / 1 - 1/2

= 1/2 /- 1/2

.

so its answer is

S =1

Answered by rishik1233
3

Answer:

here is ur answer

Step-by-step explanation:

hope it helps u

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